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Finding the Fourth Proportional to 5,214.78, 7,823.52 and 2,293.65

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Solution

The fourth proportional to 5,214.78, 7,823.52 and 2,293.65 is: 3,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.78 : 7,823.52 = 2,293.65 : x
  2. Step 2: Convert to fraction form
    5,214.78/7,823.52 = 2,293.65/x
  3. Step 3: Cross multiply
    5,214.78x = 7,823.52 × 2,293.65
  4. Step 4: Simplify right side
    5,214.78x = 17,944,416.65
  5. Step 5: Solve for x
    x = 17,944,416.65/5,214.78
  6. Step 6: Final answer
    x = 3,441.07

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